摘要
针对不确定多状态时滞分布式连续系统,研究了其鲁棒H∞控制器的设计方法.通过引入Lyapunov函数,利用线性矩阵不等式方法得到了自治系统的鲁棒渐近稳定的充分条件.基于该充分条件给出了闭环系统的鲁棒渐近稳定的充分条件,并设计了系统的鲁棒H∞状态反馈控制器.设计的控制器保证了闭环系统的二次稳定,同时使系统的H∞范数小于给定的衰减水平γ.仿真结果证明了该设计方法的有效性.
Robust H∞ controller is investigated to effectively control uncertain system with time- varying multi-state distributed delay. The corresponding Lyapunov function is proposed first, and then combining with linear matrix inequality, the sufficient condition of robustly asymptotical stability for autonomous system is obtained, by which the sufficient condition of robustly asymptotically stability for the close-loop system is also carded out. Thus state feedback H∞ controller is proposed that can guarantee the quadratic stability of the closed-loop system and satisfy the H∞ norm bound with a γ. Finally, the effectiveness of the proposed design method is demonstrated by a numerical example.
出处
《上海电力学院学报》
CAS
2013年第2期115-120,共6页
Journal of Shanghai University of Electric Power
基金
上海市重点学科(J51304)
上海市大学生科创基金项目(NHXY-11-10)
